Cancellation of 1/mQ corrections to the inclusive decay width of a heavy quark

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 58, Issue 11, 1998, Pages

  Sinkovics, A ^a   Akhoury, R ^a   Zakharov, V I ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542421331     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.114025     Document Type: Article

References (21)

1. J. Chay, H. Georgi, and B. Grinstein, Phys. Lett. B 247, 399 (1990); I. I. Bigi, N. G. Uraltsev, and A. I. Vainshtein, ibid. 293, 430 (1992); I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. Lett. 71, 496 (1993); A. V. Manohar and M. B. Wise, Phys. Rev. D 49, 1310 (1994).
2. J. Chay, H. Georgi, and B. Grinstein, Phys. Lett. B 247, 399 (1990); I. I. Bigi, N. G. Uraltsev, and A. I. Vainshtein, ibid. 293, 430 (1992); I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. Lett. 71, 496 (1993); A. V. Manohar and M. B. Wise, Phys. Rev. D 49, 1310 (1994).
3. J. Chay, H. Georgi, and B. Grinstein, Phys. Lett. B 247, 399 (1990); I. I. Bigi, N. G. Uraltsev, and A. I. Vainshtein, ibid. 293, 430 (1992); I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. Lett. 71, 496 (1993); A. V. Manohar and M. B. Wise, Phys. Rev. D 49, 1310 (1994).
4. J. Chay, H. Georgi, and B. Grinstein, Phys. Lett. B 247, 399 (1990); I. I. Bigi, N. G. Uraltsev, and A. I. Vainshtein, ibid. 293, 430 (1992); I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. Lett. 71, 496 (1993); A. V. Manohar and M. B. Wise, Phys. Rev. D 49, 1310 (1994).
5. R. Akhoury and V. I. Zakharov, Nucl. Phys. B (Proc. Suppl.) 54A, 217 (1997).
6. M. Beneke and V. M. Braun, Nucl. Phys. B426, 301 (1994); I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. D 50, 2234 (1994); M. Beneke, V. M. Braun, and V. I. Zakharov, Phys. Rev. Lett. 73, 3058 (1993).
7. M. Beneke and V. M. Braun, Nucl. Phys. B426, 301 (1994); I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. D 50, 2234 (1994); M. Beneke, V. M. Braun, and V. I. Zakharov, Phys. Rev. Lett. 73, 3058 (1993).
8. M. Beneke and V. M. Braun, Nucl. Phys. B426, 301 (1994); I. I. Bigi, M. Shifman, N. G. Uraltsev, and A. I. Vainshtein, Phys. Rev. D 50, 2234 (1994); M. Beneke, V. M. Braun, and V. I. Zakharov, Phys. Rev. Lett. 73, 3058 (1993).
9. The wave function renormalization of the initial heavy quark is another source of infrared sensitivity at the logarithmic and at the linear level. These also cancel against the radiated energy as we discuss in detail in the following sections; however, for the purposes of the subsequent discussion, we will consider just the mass renormalization contribution.
10. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
11. B. R. Webber, Phys. Lett. B 339, 148 (1994); B. R. Webber and Yu. L. Dokhshitzer, ibid. 352, 415 (1995); R. Akhoury and V. I. Zakharov, ibid. 357, 646 (1995).
12. B. R. Webber, Phys. Lett. B 339, 148 (1994); B. R. Webber and Yu. L. Dokhshitzer, ibid. 352, 415 (1995); R. Akhoury and V. I. Zakharov, ibid. 357, 646 (1995).
13. B. R. Webber, Phys. Lett. B 339, 148 (1994); B. R. Webber and Yu. L. Dokhshitzer, ibid. 352, 415 (1995); R. Akhoury and V. I. Zakharov, ibid. 357, 646 (1995).
14. R. Akhoury and V. I. Zakharov, Phys. Rev. Lett. 76, 2238 (1996).
15. T. Kinoshita, J. Math. Phys. 3, 650 (1962); T. D. Lee and M. Nauenberg, Phys. Rev. 133, B1549 (1964).
16. T. Kinoshita, J. Math. Phys. 3, 650 (1962); T. D. Lee and M. Nauenberg, Phys. Rev. 133, B1549 (1964).
17. R. Akhoury, L. Stodolsky, and V. I. Zakharov, Nucl. Phys. B516, 317 (1998).
18. R. M. Doria, J. Frenkel, and J. C. Taylor, Nucl. Phys. B168, 93 (1980); C. Di'Lieto, S. Gedron, I. G. Halliday, and C. T. Sachrajda, ibid. B183, 223 (1981).
19. R. M. Doria, J. Frenkel, and J. C. Taylor, Nucl. Phys. B168, 93 (1980); C. Di'Lieto, S. Gedron, I. G. Halliday, and C. T. Sachrajda, ibid. B183, 223 (1981).
20. R. Akhoury, M. G. Sotiropoulos, and V. I. Zakharov, Phys. Rev. D 56, 377 (1997).
21. M. Beneke and V. M. Braun, Nucl. Phys. B454, 253 (1995).